Journal article
Deformable templates using large deformation kinematics
IEEE transactions on image processing, Vol.5(10), pp.1435-1447
10/1996
DOI: 10.1109/83.536892
PMID: 18290061
Abstract
A general automatic approach is presented for accommodating local shape variation when mapping a two-dimensional (2-D) or three-dimensional (3-D) template image into alignment with a topologically similar target image. Local shape variability is accommodated by applying a vector-field transformation to the underlying material coordinate system of the template while constraining the transformation to be smooth (globally positive definite Jacobian). Smoothness is guaranteed without specifically penalizing large-magnitude deformations of small subvolumes by constraining the transformation on the basis of a Stokesian limit of the fluid-dynamical Navier-Stokes equations. This differs fundamentally from quadratic penalty methods, such as those based on linearized elasticity or thin-plate splines, in that stress restraining the motion relaxes over time allowing large-magnitude deformations. Kinematic nonlinearities are inherently necessary to maintain continuity of structures during large-magnitude deformations, and are included in all results. After initial global registration, final mappings are obtained by numerically solving a set of nonlinear partial differential equations associated with the constrained optimization problem. Automatic regridding is performed by propagating templates as the nonlinear transformations evaluated on a finite lattice become singular. Application of the method to intersubject registration of neuroanatomical structures illustrates the ability to account for local anatomical variability.
Details
- Title: Subtitle
- Deformable templates using large deformation kinematics
- Creators
- G.E Christensen - Mallinckrodt Inst. of Radiol., Washington Univ. Sch. of Med., St. Louis, MO, USAR.D RabbittMichael I Miller
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on image processing, Vol.5(10), pp.1435-1447
- Publisher
- IEEE
- DOI
- 10.1109/83.536892
- PMID
- 18290061
- ISSN
- 1057-7149
- eISSN
- 1941-0042
- Language
- English
- Date published
- 10/1996
- Academic Unit
- Electrical and Computer Engineering; Radiation Oncology; Radiation Research Laboratory
- Record Identifier
- 9984047857202771
Metrics
27 Record Views